Деякi детермінованi моделi задач нечіткого лінійного програмування
We consider deterministic equivalents of various formulations of linear programming prob-lems, in which the coefficients of the objective function, constraints and the boundary values of the variables of the problem and the right-hand side are represented by fuzzy sets. The methods for comparing the...
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| Date: | 2016 |
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| Main Author: | |
| Format: | Article |
| Language: | Russian |
| Published: |
The National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute"
2016
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| Online Access: | http://journal.iasa.kpi.ua/article/view/65806 |
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| Journal Title: | System research and information technologies |
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System research and information technologies| Summary: | We consider deterministic equivalents of various formulations of linear programming prob-lems, in which the coefficients of the objective function, constraints and the boundary values of the variables of the problem and the right-hand side are represented by fuzzy sets. The methods for comparing the fuzzy sets and selecting the best ones are proposed. The problem of finding the vec-tor of variables as a vector of real numbers is reduced to solving the one-criterion or multicriteria problem with the significantly large number of constraints. In solving the problem as a vector of Fuzzy-sets, the equivalent problem was determined – a sequence of linear programming problems. The formulated problems can be solved by the simplex method. |
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